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Iitaka's fibrations via multiplier ideals

Author: Shigeharu Takayama
Journal: Trans. Amer. Math. Soc. 355 (2003), 37-47
MSC (2000): Primary 14E05; Secondary 14D06, 14C20
Published electronically: June 24, 2002
MathSciNet review: 1928076
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Abstract: We give a new characterization of Iitaka's fibration of algebraic varieties associated to line bundles. Introducing an ``intersection number'' of line bundles and curves by using the notion of multiplier ideal sheaves, Iitaka's fibration can be regarded as a ``numerically trivial fibration'' in terms of this intersection theory.

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Additional Information

Shigeharu Takayama
Affiliation: Graduate School of Mathematics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka, 812-8581, Japan

Keywords: Iitaka's fibration, multiplier ideal, numerically trivial
Received by editor(s): December 5, 2001
Received by editor(s) in revised form: January 28, 2002
Published electronically: June 24, 2002
Dedicated: Dedicated to Professor Shigeru Iitaka on his sixtieth birthday
Article copyright: © Copyright 2002 American Mathematical Society

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